Question

Samantha is thinking of a mystery number that rounds to 450 when rounded to the nearest ten and 500 when rounded to the nearest hundred. Which number could be the mystery number?

1) 446
2) 449
3) 452
4) 461

Answer 1

The mystery number that Samantha is thinking of, which rounds to 450 to the nearest ten and 500 to the nearest hundred, is 452.

Step-by-step explanation:

Samantha is considering a mystery number that rounds to 450 when rounded to the nearest ten and 500 when rounded to the nearest hundred. To find this number, we must understand the range of numbers that would round to these values. For a number to round to 450, it should be in the range of 445 to 454. For it to round to 500 when rounded to the nearest hundred, it should be in the range of 450 to 549.

Given the options:

• 446
• 449
• 452
• 461

We can see that option 3) 452 is the only number that falls within both ranges and would round to 450 to the nearest ten and 500 to the nearest hundred, satisfying both conditions.